English

Entropy of Compositions of Covering Correspondences

Dynamical Systems 2023-10-24 v1

Abstract

We use the measure theoretical entropy from Vivas-Sirvent and the topological entropies from Dinh-Sibony and Kelly-Tennant to prove that the equidistribution measures μ\mu_- and μ+\mu_+ found by the author maximize entropy for the 11-parameter family {Fa}a\lbrace\mathcal{F}_a\rbrace_a studied by Bullett-Lomonaco. We find as well a measure of maximal entropy for the composition of two deleted covering correspondences studied by Bullett.

Keywords

Cite

@article{arxiv.2310.14330,
  title  = {Entropy of Compositions of Covering Correspondences},
  author = {Vanessa Matus De La Parra},
  journal= {arXiv preprint arXiv:2310.14330},
  year   = {2023}
}